Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bu |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-524447719096320 = -1 · 231 · 36 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6333,-1084606] |
[a1,a2,a3,a4,a6] |
j |
9407293631/175636480 |
j-invariant |
L |
1.0146052559001 |
L(r)(E,1)/r! |
Ω |
0.25365131395724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6030k1 5360j1 |
Quadratic twists by: -4 -3 |